Riccati parameterized self-similar waves in tapered graded-index waveguides

被引:24
作者
Goyal, Amit [1 ]
Gupta, Rama [1 ]
Loomba, Shally [1 ]
Kumar, C. N. [1 ]
机构
[1] Panjab Univ, Dept Phys, Chandigarh 160014, India
关键词
Tapered graded-index waveguide; Isospectral Hamiltonian approach; Similaritons; Akhmediev breathers; Rogue waves; HAMILTONIANS; GENERATION; SPECTRUM; SOLITON; OPTICS;
D O I
10.1016/j.physleta.2012.07.041
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a large family of self-similar waves by tailoring the tapering function, through Riccati parameter, in a tapered graded-index nonlinear waveguide amplifier. We show the existence of bright similaritons, self-similar Akhmediev breathers and self-similar rogue waves for generalized nonlinear Schrodinger equation with constant dispersion and nonlinearity, and a distributed gain. We illustrate the procedure to amplify the intensity of self-similar waves using isospectral Hamiltonian approach. This approach provides a handle to find analytically a wide class of tapering function and thus enabling one to control the self-similar wave structure and dynamical behavior. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:3454 / 3457
页数:4
相关论文
共 28 条
[1]   How to excite a rogue wave [J].
Akhmediev, N. ;
Soto-Crespo, J. M. ;
Ankiewicz, A. .
PHYSICAL REVIEW A, 2009, 80 (04)
[2]   Extreme waves that appear from nowhere: On the nature of rogue waves [J].
Akhmediev, N. ;
Soto-Crespo, J. M. ;
Ankiewicz, A. .
PHYSICS LETTERS A, 2009, 373 (25) :2137-2145
[3]   Waves that appear from nowhere and disappear without a trace [J].
Akhmediev, N. ;
Ankiewicz, A. ;
Taki, M. .
PHYSICS LETTERS A, 2009, 373 (06) :675-678
[4]  
Akhmediev N., 1986, TEOR MAT FIZ, V69, P189
[5]   Nonlinear dynamics of DNA - Riccati generalized solitary wave solutions [J].
Alka, W. ;
Goyal, Amit ;
Kumar, C. Nagaraja .
PHYSICS LETTERS A, 2011, 375 (03) :480-483
[6]   Nanotaper for compact mode conversion [J].
Almeida, VR ;
Panepucci, RR ;
Lipson, M .
OPTICS LETTERS, 2003, 28 (15) :1302-1304
[7]  
[Anonymous], SUPERSYMMETRY QUANTU
[8]  
[Anonymous], 2007, NONLINEAR FIBER OPTI
[9]   Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation [J].
Atre, Rajneesh ;
Panigrahi, Prasanta K. ;
Agarwal, G. S. .
PHYSICAL REVIEW E, 2006, 73 (05)
[10]   Supercontinuum generation in tapered fibers [J].
Birks, TA ;
Wadsworth, WJ ;
Russell, PS .
OPTICS LETTERS, 2000, 25 (19) :1415-1417